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The angle at the centre of a circle is twice the angle at the circumference

The angle in a semicircle is 90 degrees

Angles in the same segment are equal

perpendicular bisector of a chord passes through the centre of the circle at 90 degrees

Opposite angles of a cyclic quadrilateral add up to 180 degrees

A tangent meets a radius at 90 degrees

Tangents from the same point are the same length

Alternative segment theorem